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Byju's Answer
Standard X
Mathematics
Properties of GP
If m = 1/3 ...
Question
If
m
=
1
3
−
√
8
and
n
=
1
3
+
√
8
.
If
m
2
is equal to
17
+
6
√
n
, then value of
n
is?
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Solution
Given,
m
=
1
3
−
√
8
and
n
=
1
3
+
√
8
.
We rationalize the denominator,
Therefore,
m
=
1
3
−
√
8
×
3
+
√
8
3
+
√
8
⇒
m
=
3
+
√
8
9
−
8
⇒
m
=
3
+
√
8
1
.
Therefore,
m
2
=
(
3
+
√
8
)
(
3
+
√
8
)
=
9
+
8
+
6
√
8
=
17
+
6
√
8
.
Comparing this with
17
+
6
√
n
, we get,
the value of
n
=
8
.
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Q.
If
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